Description: The 2-band discrete wavelet transform (DWT) provides
an octave-band analysis in the frequency domain, but this
might not be ‘optimal’ for a given signal. The discrete wavelet
packet transform (DWPT) provides a dictionary of bases over
which one can search for an optimal representation (without
constraining the analysis to an octave-band one) for the signal
at hand. However, it is well known that both the DWT and the
DWPT are shift-varying. Also, when these transforms are extended
to 2-D and higher dimensions using tensor products, they
do not provide a geometrically oriented analysis. The dual-tree
complex wavelet transform (DT-CWT), introduced by Kingsbury,
is approximately shift-invariant and provides directional analysis
in 2-D and higher dimensions. In this paper, we propose a method
to implement a dual-tree complex wavelet packet transform (DTCWPT),
extending the DT-CWT as the DWPT extends the DWT.
To find the best complex wavelet packet frame for a given
signal, w
File list (Check if you may need any files):
dtcwpt
......\afb.m
......\demo.m
......\dtcwpt_filters.mat
......\dtcwpt_filters_long.mat
......\DTWPT.m
......\IDTWPT.m
......\sfb.m